How is liquefied carbon dioxide for industrial purposes produced?

How is liquefied carbon dioxide for industrial purposes produced? My manufacturing plant requires weekly shipments of liquefied CO2 and our supplier has been having some problems. They have indicated that they had a fire at their plant which got me thinking… what does a CO2 plant look like? How do they generate industrial quantities of liquefied CO2? Do they separate it out from the air and condense it, or perhaps generate it by burning hydrocarbons?

Also, from Universal Industrial Gases, Inc...CO2 Carbon Dioxide Properties, Uses, Applications  -  Recovery from Industrial Sources - Concentration in Air :